Question

(a) A company conducted a quality control inspection on a batch of 250 products. It was found that \((7.5 + 0.1 \times R)\%\) of the products are defective. (i) Determine the probability distribution in (a). Hence, find the expected number of products being defective and its variance. (5 marks) (ii) By using Normal Approximation, estimate the probability that less than 15 products are defective. (5 marks) (iii) By using Normal Approximation, estimate the probability that the number of defective products are between 17 and 24. (5 marks)

          (a) A company conducted a quality control inspection on a batch of 250 products. It was found that \((7.5 + 0.1 \times R)\%\) of the products are defective.
(i) Determine the probability distribution in (a). Hence, find the expected number of products being defective and its variance.
(5 marks)
(ii) By using Normal Approximation, estimate the probability that less than 15 products are defective.
(5 marks)
(iii) By using Normal Approximation, estimate the probability that the number of defective products are between 17 and 24.
(5 marks)

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(a) A company conducted a quality control inspection on a batch of 250 products. It was found that (7.5 + 0.1 × R)% of the products are defective.
(i) Determine the probability distribution in (a). Hence, find the expected number of products being defective and its variance.
(5 marks)
(ii) By using Normal Approximation, estimate the probability that less than 15 products are defective.
(5 marks)
(iii) By using Normal Approximation, estimate the probability that the number of defective products are between 17 and 24.
(5 marks)

Added by Anna M.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Adi S

08/31/2023

Step 1

5 + 0.1 x R)% of the products are defective, where R=1, we can calculate the percentage of defective products: Percentage of defective products = 7.5 + 0.1 x 1 = 7.5 + 0.1 = 7.6% Now, we can convert this percentage to a decimal: P(defective) = 0.076 Since the Show more…

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(a) A company conducted a quality control inspection on a batch of 250 products. It was found that (7.5+0.1 imes R)% of the products are defective. R=1 (i) Determine the probability distribution in (a). Hence, find the expected number of products being defective and its variance. (5 marks) (ii) By using Normal Approximation, estimate the probability that less than 15 products are defective. (5 marks) (iii) By using Normal Approximation, estimate the probability that the number of defective products are between 17 and 24 . (5 marks) (a) A company conducted a quality control inspection on a batch of 250 products. It was found that (7.5 + 0.1 x R)% of the products are defective (i) Determine the probability distribution in (a). Hence, find the expected number of products being defective and its variance. (5 marks) (ii) By using Normal Approximation, estimate the probability that less than 15 products are defective. (5 marks) (iii) By using Normal Approximation, estimate the probability that the number of defective products are between 17 and 24. (5 marks)

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